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144118806 = 23134292
BaseRepresentation
bin10001001011100…
…01010000010110
3101001011222211120
420211301100112
5243343300211
622144544410
73366663306
oct1045612026
9331158746
10144118806
1174395657
1240322106
1323b20000
14151d7606
15c9bbd06
hex8971416

144118806 has 60 divisors (see below), whose sum is σ = 323395332. Its totient is φ = 42815136.

The previous prime is 144118787. The next prime is 144118837. The reversal of 144118806 is 608811441.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 4969600 + ... + 4969628.

Almost surely, 2144118806 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144118806, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161697666).

144118806 is an abundant number, since it is smaller than the sum of its proper divisors (179276526).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

144118806 is an frugal number, since it uses more digits than its factorization.

144118806 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 33.

The square root of 144118806 is about 12004.9492293804. The cubic root of 144118806 is about 524.2923872737.

Multiplying 144118806 by its product of nonzero digits (6144), we get a square (885465944064 = 9409922).

The spelling of 144118806 in words is "one hundred forty-four million, one hundred eighteen thousand, eight hundred six".

Divisors: 1 2 3 6 13 26 29 39 58 78 87 169 174 338 377 507 754 841 1014 1131 1682 2197 2262 2523 4394 4901 5046 6591 9802 10933 13182 14703 21866 28561 29406 32799 57122 63713 65598 85683 127426 142129 171366 191139 284258 382278 426387 828269 852774 1656538 1847677 2484807 3695354 4969614 5543031 11086062 24019801 48039602 72059403 144118806